Coordinate Geometry Question 77

Question: The coordinates of the point dividing internally the lines joining the points (4, -2) and (8, 6) in the ratio 7 : 5 will be

[AMU 1979; MP PET 1984]

Options:

A) $ (16,18) $

B) $ (18,16) $

C) $ ( \frac{19}{3},\frac{8}{3} ) $

D) $ ( \frac{8}{3},\frac{19}{3} ) $

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Answer:

Correct Answer: C

Solution:

$ x=\frac{4\times 5+8\times 7}{12}=\frac{19}{3} $ and $ y=\frac{-2\times 5+6\times 7}{12}=\frac{8}{3} $ .